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Finding the Fourth Proportional to 643,783.68, 965,779.20 and 200,448

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Solution

The fourth proportional to 643,783.68, 965,779.20 and 200,448 is: 300,704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,783.68 : 965,779.20 = 200,448 : x
  2. Step 2: Convert to fraction form
    643,783.68/965,779.20 = 200,448/x
  3. Step 3: Cross multiply
    643,783.68x = 965,779.20 × 200,448
  4. Step 4: Simplify right side
    643,783.68x = 193,588,509,081.60
  5. Step 5: Solve for x
    x = 193,588,509,081.60/643,783.68
  6. Step 6: Final answer
    x = 300,704.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.